Document Type


Publication Date


Published In

Algebras And Representation Theory


The Peterson comparison formula proved by Woodward relates the three-pointed Gromov-Witten invariants for the quantum cohomology of partial flag varieties to those for the complete flag. Another such comparison can be obtained by composing a combinatorial version of the Peterson isomorphism with a result of Lapointe and Morse relating quantum Littlewood-Richardson coefficients for the Grassmannian to k-Schur analogs in the homology of the affine Grassmannian obtained by adding rim hooks. We show that these comparisons on quantum cohomology are equivalent, up to Postnikov’s strange duality isomorphism.


Quantum cohomology, Grassmannian, Affine Schubert calculus, k-Schur function, Littlewood-Richardson coefficients, Peterson isomorphism


This work is a preprint that is freely available courtesy of Springer. The version of record can be freely accessed via SpringerNature's SharedIt service.

Included in

Mathematics Commons